Actually the norm in the U.S. is no paid maternity leave. I was working as a professional for two different employers when I had my babes, and at neither one did I get one day of paid maternity/parental benefit, not for leave or for short term disability. It's kind of disgraceful, the U.S. is one of only 5 countries in the world that does this, the others being countries like Liberia, Lesotho, Papua New Guinea, etc.
I did have paid sick leave at the second job, so I hoarded that and my vacation leave from the time before I got pregnant, knowing that I would hopefully need it some day. I ended up with 5 weeks paid by doing that. For the rest of my leave, I just hoarded money, and lived as cheaply as I was comfortable. When you see how much money accumulates by cutting out extras, you start feeling so good about it that you are comfortable on less (we already didn't have cable, have a cheap mobile phone plan, don't eat out or get prepared foods much, etc). I do cloth diapers, which saves us about $800/year, I calculated. With my first, the daycare didn't do cloth, so we were paying about $65/mo on that, I think. I got my cloth ones used, so they were cheaper; it seems like a lot upfront, but it is cheaper in the long run. Also you can get a lot of your baby gear on Craigslist or yard sales. I bought baby clothes used, got them from friends, or on ebay in lots. Collectively, you can save hundreds of dollars. All of these things were relatively painless and didn't take much getting used to. I've seen others who save tons of money with their groceries and other things that are great, but a little too involved for me!
The best way to start might be to take a few minutes to think out a budget of how much money you need to make it through your leave, and then write down what you think you need to spend on your bills and other various spending, and then see what you can cut back on. We try to keep our utilities low, even if it's just saving $15-20/month, it adds up over a year, and I wouldn't turn someone down if they wanted to give me $200, but I would want to keep it rather than burn it up into the ether and not even notice it.
Good luck, and enjoy a happy, healthy baby! Oh, and BREASTFEED if possible, work hard to make it work! Formula costs $hundreds a month.